Apollonian coronas and a new Zeta function
Metric Geometry
2019-09-24 v1
Abstract
We find a formula for the area of disks tangent to a given disk in an Apollonian disk packing (corona) in terms of a certain novel arithmetic Zeta function. The idea is based on "tangency spinors" defined for pairs of tangent disks.
Keywords
Cite
@article{arxiv.1909.09941,
title = {Apollonian coronas and a new Zeta function},
author = {Jerzy Kocik},
journal= {arXiv preprint arXiv:1909.09941},
year = {2019}
}
Comments
19 pages, 14 figures